Zeno of Elea was a Greek philosopher and a mathematician. Zeno is particularly known for his paradoxes that helped build both mathematics and logic, they specifically targeted the concepts of continuity and infinity. Zeno was born in 495 BCE and died in 430 BCE. In his lifetime he contributed some great things to the subject of math. He studied at the Eleatic School, a leading school in Greek philosophy. He is said to have been a good friend of the philosopher Parmenides. After his studies he went on to write a book containing 40 paradoxes! Unfortunately none of Zeno’s writing has ever been found. Zeno contributed to mathematics greatly and he will always be remembered for this.
It is rumoured that Zeno only wrote his paradoxes because other philosophers were writing paradoxes disproving his friend Parmenides ideals. Although this could be true Zeno’s paradoxes were fascinating! He goes as far as to say that motion is only an illusion and that there are multiple existences! Many mathematicians find Zeno’s paradoxes to simply be mathematical equations that calculus can provide a solution to. I suppose this could be true, but the things that Zeno provided thought on were amazing! Zeno had many things to say and some historians say that his intellect brought him his end. Even though some people disagree with Zeno’s paradoxes there are many philosophers who consider the problems Zeno addressed to be metaphysical problem to this very day.
Zeno was described as a fair and tall man. There are not many accounts on his looks or early life. His paradoxes are said to be influenced by Pythagoras who wanted to apply mathematics to the real world. Although the real influences on why he wrote his paradoxes is probably eternally lost to us. Z...
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...bout judgement. When he wrote his book there were 40 paradoxes. Since only eight have survived we cannot ever know the full extent of Zeno’s knowledge but his life alone shows he was a man of vast knowledge. Zeno made many friendships in his life and is even said to have met Plato and Sacrotes. This is doubtable due to chronology of the lives of the three, but if this happened Zeno had many credible people to look up to and to converse with. Plato alone is an amazing person to get the opportunity to meet. Also, as i have stated before Zeno is said to have wrote his paradoxes in the defense of his friend Parmenides after other philosophers were trying to knock down his word. Zeno may have been a controversial man after he wrote his paradoxes, but he was well educated and well spoken. Zeno is most definitely a man to be seen as a role model in the world of mathematics.
For these two articles that we read in Crito and Apology by Plato, we could know Socrates is an enduring person with imagination, because he presents us with a mass of contradictions: Most eloquent men, yet he never wrote a word; ugliest yet most profoundly attractive; ignorant yet wise; wrongfully convicted, yet unwilling to avoid his unjust execution. Behind these conundrums is a contradiction less often explored: Socrates is at once the most Athenian, most local, citizenly, and patriotic of philosophers; and yet the most self-regarding of Athenians. Exploring that contradiction, between Socrates the loyal Athenian citizen and Socrates the philosophical critic of Athenian society, will help to position Plato's Socrates in an Athenian legal and historical context; it allows us to reunite Socrates the literary character and Athens the democratic city that tried and executed him. Moreover, those help us to understand Plato¡¦s presentation of the strange legal and ethical drama.
Socrates was wise men, who question everything, he was found to be the wise man in Athens by the oracle. Although he was consider of being the wises man alive in those days, Socrates never consider himself wise, therefore he question everything in order to learned more. Socrates lived a poor life, he used to go to the markets and preach in Athens he never harm anyone, or disobey any of the laws in Athens, yet he was found guilty of all charges and sentence to die.
Well-known for his significant impact on the philosophical world, Socrates was one of the first people to truly question individuals and take the average level of thinking to a much more elevated level. The Last Days of Socrates, specifically Euthyphro, Apology, and Crito, written by Plato demonstrates Socrates’ great use of the Socratic method as well as rhetoric, the art of persuasion. Many people looked down upon Socrates because they viewed his calling, as told by the Oracle of Delphi, to be impious. Although Socrates was put to death for living a life such as his, he was very extremely successful during his time alive. Socrates was successful in both the realm of philosophical truth and in the outside world because humans used rhetorical ways of thinking to find purpose and make decisions without the influence of other members in society.
The paradox arises due to a number of assumptions concerning knowledge, inquiry and definition made by both Socrates and Meno. The assumptions of Socrates are:
Philo Judaeus is regarded as one of the greatest Jewish-Hellenistic philosophers of his age. In a majority of his writing he quotes bible verses, speaks of a path to the Lord and does so with such image producing words. While reading Philo it is hard to discern his philosophical views, and surgically placed words, from those influenced of his religious background. He brings fourth an interesting combination of philosopher poet or preacher. Philo Judaeus was very religious and portrayed such in his writings. I believe and assume Philo had as well, that the truly aware man is made up of three parts: the philosopher, the poet and the preacher. Without the other two one cannot truly exist, therefore all of the greats such as Plato, Huxley, Conger and of course Philo must have a been truly aware. For their love of wisdom, endeavor for ultimate reality and their amazing talent for language is unmatched and greatly appreciated all who read their work. Several scholars have used the writings of Philo to explain theological conceptions found in the writings of the Christians, and also to better understand debates and conflicts witnessed in the New Testament.
The act of the mind of Judgment is can be very controversial. The main points under review with this act are was Socrates a corrupter or an improver? And was Socrates an atheist. In my opinion Socrates does a good job of using judgment to rebut his charges. Judgment is very hard to use as valid reasoning. Everyone has there own judgments about everything. How does one know i...
Zimbardo wanted to appeal the hypothesis that has somewhat been the statue quo of "blaming conditions on the evil in the prisoners, but also that have attributing the evil to guars and staff with their evil motives and defiant personality structures). In a way, he wanted to gain knowledge in corrupting in the 'bad seeds ' and not in the condition of 'prison soil '.
Plato was born in Athens, Greece around 427 B.C. He was always interested in politics, until he witnessed his mentor and teacher, Socrates, death. After learning of the callousness of politics, Plato changed his mind and eventually opened up The Academy, which is considered if not the first, one of the first Universities. Students at the Academy studied many different fields of science, including biological and astronomical. The students also studied many other fields, such as math. Plato developed many views that were mathematical in nature. He expressed these views through his writings. According to Dr. Calkins of Andrew University, "Timaeus is probably the most renowned of Plato's thirty-five dialogues. [In it] Plato expresses that he believes that the heavenly bodies are arranged in perfect geometric form. He said that because the heavens are perfect, the various heavenly bodies move in exact circles." (Calkins 1). Of course that is a much summarized view of what Plato discusses in Timaeus, but still a solid view on Plato's beliefs about cosmology. Cosmology can be loosely defined as everything being explained and in its place or beautiful. The cosmos is beautiful because everything is perfect. Plato understood that when he defined the most perfect geometric design as the circle. In a circle one line is always equidistance from one point. In Plato's universe there are two realms, eternity and time. The factor that creates "time" out of the chaos of "eternity" is the Demiurge. Plato's Demiurge can be defined as an architect creator theological entity. The importance of the Demiurge in this paper is to compare and contrast him with Boethius's God in The Consolation of Philosophy.
In the Meno, Plato addresses the question of virtue, what it is, how to obtain and if virtue can be taught. Meno came to conclusion after a long discussion with Socrates that it is impossible to know what virtue is. The Meno’x paradox states, “if one knows what virtue is, he does not need to search for it. However, if one does not know what virtue is, how can he search for it? He may not know he has it even when he gets it.”
Socrates (470-399 BC) was a credited philosopher born in the city of Athens to father Sophroniscus and mother Phaenarete. Despite his world-renowned contributions, he did not leave any written accounts of his life. His story was taught through the writings of his students Plato and Xenophon, along with Aristotle and Aristophanes in various forms of dramatic texts and histories. Among others, Plato wrote many dialogues that quoted Socrates’ exact words. Much of what we know comes from this greatly influenced student. However, Plato being a literary artist, leads many to think that he brightened up Socrates’ teachings as a result of his positive bias. For this reason, much of his history remains uncertain.
Philosophers like Socrates had a huge impact on philosophers during that time as well as the philosophers today. During the Periclean Age, he was in Athens teaching philosophy of life to the people on the streets who cared enough to listen. The philosophy of Socrates mainly was the responsibility of people's moral attitudes. The teachings of Socrates were found to be understanding of life, recognizing the truth and speaking of the components that were used to a successful life. The teachings of his philosophy weren't appreciated much by the public in which he was sent to the trial with charges against him for his teachings towards the youth. It is very shocking to learn that the charges against him were the interference with the youth and unbelieving
Right after Socrates comments how they can both look for virtue, Meno gives him these questions: “How will you look for it, Socrates, when you do not know at all what it is? How will you aim to search for something you do not know at all? If you should meet with it, how will you know that this is the thing you did not know (80d)?” This is Meno’s paradox which explains the discovery of knowledge is impossible and if you do not know what you are learning, and that you cannot discover it either. Meno states in his first premise that you either know what knowledge is or you don’t, and whether you do know it or not, you cannot discover what that piece of knowledge is. This,
By Characterizing himself –Socrates- as both ignorant and wise, he presents us with one of the most striking paradoxes. Like so many of the other philosophers, is provocative in that its apparent self-contradiction hides an important idea for us readers to discover. Though out this text Socrates ignorance results from his belief that he has no knowledge of moral idea, or moral properties, such as justice, virtue, piety, and beauty. He asserts that, if only he knew the relevant definitions, he would be a moral expert who could answer philosophical questions about moral properties- questions such as is a certain action just? Or is it truly good for a man to be virtuous? Socrates believes that only someone that is “truly wise” would know these essential definitions and be able to provide such expert answers. It is important to determine whether Socrates does, in fact, accept priority of definition principle and, if he does, whether he is committed to a false and problematic principle that subjects him to catastrophic results. A textual analysis will be a philosophic inquiry into Socrates’ conception of knowledge, considering what he believes knowledge to be, how the knowledge of definitions fits into his epistemology, and whether or not his conception of knowledge is philosophical compelling.
Zeno of Elea was the next person who attempted to prove irrational numbers by challenging the Pythagorean mathematics as well. He lived from 490BC to 430BC. Zeno had influence from Socrate...
The 17th Century saw Napier, Briggs and others greatly extend the power of mathematics as a calculator science with his discovery of logarithms. Cavalieri made progress towards the calculus with his infinitesimal methods and Descartes added the power of algebraic methods to geometry. Euclid, who lived around 300 BC in Alexandria, first stated his five postulates in his book The Elements that forms the base for all of his later Abu Abd-Allah ibn Musa al’Khwarizmi, was born abo...